# How to integrate a function within a square root

## Homework Statement

Find the length of x=y^3/30+5/(2y) on 3 <= y <= 5

## Homework Equations

L = integral sqrt(1+(dx/dy)^2)dx

## The Attempt at a Solution

I got to the integral upper bound = 5, lower bound = 3, sqrt(y^4/100+25/(4y^4)+1/2)dy. How do I actually solve the integral? It would be find if there wasn't a square root.

## Answers and Replies

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Homework Helper
Factor out $$\frac{1}{100y^4}$$ inside the root and see if you can go from there.